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Simplifying -7m + 42 + -3(m + -1) = 6m + -1(4m + -7) + -3m + 2 Reorder the terms: -7m + 42 + -3(-1 + m) = 6m + -1(4m + -7) + -3m + 2 -7m + 42 + (-1 * -3 + m * -3) = 6m + -1(4m + -7) + -3m + 2 -7m + 42 + (3 + -3m) = 6m + -1(4m + -7) + -3m + 2 Reorder the terms: 42 + 3 + -7m + -3m = 6m + -1(4m + -7) + -3m + 2 Combine like terms: 42 + 3 = 45 45 + -7m + -3m = 6m + -1(4m + -7) + -3m + 2 Combine like terms: -7m + -3m = -10m 45 + -10m = 6m + -1(4m + -7) + -3m + 2 Reorder the terms: 45 + -10m = 6m + -1(-7 + 4m) + -3m + 2 45 + -10m = 6m + (-7 * -1 + 4m * -1) + -3m + 2 45 + -10m = 6m + (7 + -4m) + -3m + 2 Reorder the terms: 45 + -10m = 7 + 2 + 6m + -4m + -3m Combine like terms: 7 + 2 = 9 45 + -10m = 9 + 6m + -4m + -3m Combine like terms: 6m + -4m = 2m 45 + -10m = 9 + 2m + -3m Combine like terms: 2m + -3m = -1m 45 + -10m = 9 + -1m Solving 45 + -10m = 9 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 45 + -10m + m = 9 + -1m + m Combine like terms: -10m + m = -9m 45 + -9m = 9 + -1m + m Combine like terms: -1m + m = 0 45 + -9m = 9 + 0 45 + -9m = 9 Add '-45' to each side of the equation. 45 + -45 + -9m = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -9m = 9 + -45 -9m = 9 + -45 Combine like terms: 9 + -45 = -36 -9m = -36 Divide each side by '-9'. m = 4 Simplifying m = 4
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